Frequency tuning of multi-qubit systems

A method of forming a multi-qubit chip, the method comprising:

• determining a set-point frequency for each qubit of a plurality of qubits on the multi-qubit chip that achieves a defined collision probability with respect to a probability of frequency collisions between adjacent qubits;
• forming the plurality of qubits on the multi-qubit chip in accordance with the set-point frequency for each qubit, wherein each qubit comprises a Josephson junction and a capacitor connected in parallel with one another;
• measuring a first frequency of a first qubit of the plurality of qubits;
• and
• annealing the Josephson junction of the first qubit, based on parameters for the annealing from a database that relates the parameters to frequency shifts, to alter the first frequency of the first qubit from the first frequency to about a first set-point frequency determined for the first qubit.

A multi-qubit chip formed by:

• forming a plurality of qubits on a chip, wherein each qubit comprises a Josephson junction and a capacitor connected in parallel with one another;
• measuring a resonance frequency of each qubit on the chip;
• determining a set-point frequency for each qubit that achieves a defined collision probability with respect to a probability of frequency collisions between adjacent qubits;
• and
• annealing a first Josephson junction of a first qubit of the plurality of qubits, based on parameters for the annealing from a database that relates the parameters to frequency shifts, to modify the resonance frequency of the first qubit from a first resonance frequency to about a first set-point frequency determined for the first qubit;
• and
• annealing a second Josephson junction of a second qubit of the plurality of qubits, based on the parameters from the database, to modify the resonance frequency of the second qubit from a second resonance frequency to about a second set-point frequency determined for the second qubit, wherein the first set-point frequency is different than the second set-point frequency.

A multi-qubit chip formed by:

• determining a set-point frequency for each qubit of a plurality of qubits on the multi-qubit chip that achieves a defined collision probability with respect to a probability of frequency collisions between adjacent qubits;
• based on the set-point frequency for each qubit, forming the plurality of qubits on the multi-qubit chip, wherein each qubit comprises a Josephson junction and a capacitor connected in parallel with one another;
• measuring a first frequency of a first qubit of the plurality of qubits;
• and
• annealing the Josephson junction of the first qubit, based on parameters for the annealing from a database that relates the parameters to frequency shifts, to adjust the frequency of the first qubit from the first frequency to about a first set-point frequency determined for the first qubit.

A method of forming a multi-qubit chip, the method comprising:

• forming a plurality of qubits on a chip, wherein each qubit comprises a trilayer Josephson junction and a capacitor connected in parallel with one another, wherein the trilayer Josephson junction comprises a first aluminum layer, an aluminum-oxide layer, and a second aluminum layer;
• measuring a resonance frequency of each qubit on the chip;
• determining a set-point frequency for each qubit that achieves a defined collision probability with respect to a probability of frequency collisions between adjacent qubit;
• and
• annealing the trilayer Josephson junction of each of the plurality of qubits using a laser, based on parameters for the annealing from a database that relates the parameters to frequency shifts, to cause the resonance frequency of each of the plurality of qubits to change from the resonance frequency to the set-point frequency determined for each qubit.